Static Exciter Transfer Functions (Obsolete)

IEEE Static Excitation System with Digital Control #1 (ST4B)

IEEE Static Excitation System with Digital Control #2 (ST5B)

IEEE Static Potential-source Excitation System with Field Current Limiter (ST6B)

IEEE Static Potential-source Excitation System (ST7B)

As indicated previously, each of the exciter models have a unique transfer function. The schematic diagram of each is given below.

IEEE Static Excitation System #1 (ST1A)

Where,

	Output of terminal voltage transducer and load compensation elements [pu]
	Voltage regulator reference (determined to satisfy initial conditions) [pu]
	Alternate inputs. Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]
	Alternate inputs. Under-excitation limiter input [pu]
	Upper and lower limits on error signal [pu]
	Internal voltage within voltage regulator [pu]
	Over excitation limiter input [pu]
	Voltage regulator time constant [s]
	1st lag time constant [s]
	2nd lag time constant [s]
	1st lead time constant [s]
	2nd lag time constant [s]
	Maximum and minimum regulator outputs [pu]
	Voltage gain [pu]
	Voltage regulator output [pu]
	Rate feedback time constant [s]
	Rate feedback gain [pu]
	Exciter output current limiter gain [pu]
	Synchronous machine field current [pu]
	Exciter output current limit reference [pu]
	Maximum and minimum field voltages [pu]
	Synchronous machine terminal voltage [pu]
	Field current commutating impedance [pu]
	Exciter output voltage [pu]
	Regulator time constant [s]

IEEE Static Excitation System #2 (ST2A)

Where,

	Output of terminal voltage transducer and load compensation elements [pu]
	Voltage regulator reference (determined to satisfy initial conditions) [pu]
	Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]
	Alternate inputs. Under-excitation limiter input [pu]
	Excitation system stabilizer output [pu]
	Regulator time constant [s]
	Regulator gain [pu]
	Maximum and minimum regulator outputs [pu]
	Rate feedback time constant [s]
	Rate feedback gain [pu]
	Exciter time constant [s]
	Maximum exciter output voltage [pu]
	Exciter constant related to field [pu]
	Available exciter voltage [pu]
	Exciter voltage back of commutating reactance [pu]
	Synchronous machine field current [pu]
	Rectifier loading factor [pu]
	Normalized exciter load current [pu]
	Synchronous machine terminal voltage [pu]
	Synchronous machine terminal current [pu]
	Exciter output voltage [pu]
	Rectifier loading factor, a function of IN [pu]
	Compounding circuit voltage multiplier [pu]
	Compounding circuit current multiplier [pu]
	Voltage regulator output [pu]

IEEE Static Excitation System #3 (ST3A)

Where,

	Exciter output voltage [pu]
	Maximum exciter output voltage [pu]
	Rectifier loading factor, a function of IN [pu]
	Synchronous machine field current [pu]
	Normalized exciter load current [pu]
	Synchronous machine terminal current [pu]
	Regulator gain [pu]
	Rectifier loading factor [pu]
	Field inner loop feedback gain [pu]
	Compounding circuit current multiplier [pu]
	Magnitude of compounding circuit voltage multiplier [pu]
	Field inner loop gain constant [pu]
	Regulator time constant [s]
	Lag time constant [s]
	Lead time constant [s]
THETA_p =	Angle of compounding circuit voltage multiplier [deg]
	Field inner loop time constant [s]
	Available exciter voltage [pu]
	Available exciter voltage maximum [pu]
	Output of terminal voltage transducer and load compensation elements [pu]
	Exciter voltage back of commutating reactance [pu]
	Inner loop voltage feedback [pu]
	Field inner loop feedback maximum [pu]
	Upper and lower limits on error signal [pu]
	Output factor of converter bridge corresponding to firing angle command to thyristors [pu]
	Field inner loop maximum and minimum outputs [pu]
	Voltage regulator output [pu]
	Voltage regulator reference (determined to satisfy initial conditions) [pu]
	Maximum and minimum regulator outputs [pu]
	Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]
	Synchronous machine terminal voltage [pu]
	Under-excitation limiter output [pu]
	Potential source reactance [pu]

IEEE Static Excitation System with Digital Control #1 (ST4B)

Where,

	Exciter output voltage [pu]
	Rectifier loading factor, a function of IN [pu]
	Synchronous machine field current [pu]
	Normalized exciter load current [pu]
	Synchronous machine terminal current [pu]
	Rectifier loading factor [pu]
	Field inner loop feedback gain [pu]
	Compounding circuit current multiplier [pu]
	Inner loop integral gain [pu]
	Regulator integral gain [pu]
	Magnitude of compounding circuit voltage multiplier [pu]
	Inner loop proportional gain [pu]
	Regulator proportional gain [pu]
	Regulator time constant [s]
THETA_p =	Angle of compounding circuit voltage multiplier [deg]
	Available exciter voltage [pu]
	Available exciter voltage maximum [pu]
	Output of terminal voltage transducer and load compensation elements [pu]
	Exciter voltage back of commutating reactance [pu]
	Output factor of converter bridge corresponding to firing angle command to thyristors [pu]
	Field inner loop maximum and minimum outputs [pu]
	Over-excitation limiter input [pu]
	Voltage regulator output [pu]
	Voltage regulator reference (determined to satisfy initial conditions) [pu]
	Maximum and minimum regulator outputs [pu]
	Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]
	Synchronous machine terminal voltage [pu]
	Under-excitation limiter input [pu]
	Potential source reactance [pu]

IEEE Static Excitation System with Digital Control #2 (ST5B)

Where,

	Exciter output voltage [pu]
	Synchronous machine field current [pu]
	Field current commutating impedance [pu]
	Regulator gain [pu]
	Regulator time constant [s]
	First lag time constant [s]
	Second lag time constant [s]
	First lead time constant [s]
	Second lead time constant [s]
	Forward time constant of inner loop field regulator [s]
	Overexcitation: 1st lag time constant [s]
	Overexcitation: 2nd lag time constant [s]
	Overexcitation: 1st lead time constant [s]
	Overexcitation: 2nd lead time constant [s]
	Underexcitation: 1st lag time constant [s]
	Underexcitation: 2nd lag time constant [s]
	Underexcitation: 1st lead time constant [s]
	Underexcitation: 2nd lead time constant [s]
	Maximum and minimum regulator output limits [pu]
	Output of terminal voltage transducer and load compensation elements [pu]
	Over-excitation limiter input [pu]
	Voltage regulator output [pu]
	Voltage regulator reference (determined to satisfy initial conditions) [pu]
	Maximum and minimum regulator outputs [pu]
	Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]
	Synchronous machine terminal voltage [pu]
	Under-excitation limiter input [pu]

IEEE Static Potential-source Excitation System with Field Current Limiter (ST6B)

Where,

	Exciter output voltage [pu]
	Synchronous machine field current [pu]
	Current limit reference [pu]
	Current limit adjustment [pu]
	Pre-control gain constant [pu]
	Field inner loop feedback gain [pu]
	Regulator integral gain [pu]
	Current limit gain [pu]
	Forward gain constant [pu]
	Regulator proportional gain [pu]
	Field inner loop time constant [s]
	Voltage regulator output [pu]
	Maximum and minimum regulator output limits [pu]
	Available exciter voltage [pu]
	Output of terminal voltage transducer and load compensation elements [pu]
	Inner loop voltage feedback [pu]
	Over-excitation limiter input [pu]
	Voltage regulator output [pu]
	Voltage regulator reference (determined to satisfy initial conditions) [pu]
	Maximum and minimum regulator outputs [pu]
	Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]
	Under-excitation limiter input [pu]

IEEE Static Potential-Source Excitation System (ST7B)

Where,

	High band gain [pu]
	Feedback gain [pu]
	Low band gain [pu]
	Regulator proportional gain [pu]
	Lag time constant [s]
	Lead time constant [s]
	Exciter lag time constant [s]
	Exciter lead time constant [s]
	Feedback time constant [s]
	Output of terminal voltage transducer and load compensation elements [pu]

	Maximum and minimum voltage output [pu]
	Over-excitation limiter input [pu]
	Voltage regulator output [pu]
	Voltage regulator reference (determined to satisfy initial conditions) [pu]

	Maximum and minimum regulator outputs [pu]
	Combined power system stabilizer and possibly discontinuous control output after any limits or switching, as summed with terminal voltage and reference signals [pu]

	Synchronous machine terminal voltage [pu]
	Under-excitation limiter input [pu]